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Finding the Fourth Proportional to 149.24, 205.68 and 112.31

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Solution

The fourth proportional to 149.24, 205.68 and 112.31 is: 154.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    149.24 : 205.68 = 112.31 : x
  2. Step 2: Convert to fraction form
    149.24/205.68 = 112.31/x
  3. Step 3: Cross multiply
    149.24x = 205.68 × 112.31
  4. Step 4: Simplify right side
    149.24x = 23,099.92
  5. Step 5: Solve for x
    x = 23,099.92/149.24
  6. Step 6: Final answer
    x = 154.78

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.